111536455680 has 720 divisors, whose sum is σ = 432813798144. Its totient is φ = 27391426560.

The previous prime is 111536455661. The next prime is 111536455699. The reversal of 111536455680 is 86554635111.

It is a happy number.

111536455680 is a `hidden beast` number, since 1 + 1 + 1 + 536 + 4 + 55 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111536455661) and next prime (111536455699).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258785065 + ... + 258785495.

Almost surely, 2^111536455680 is an apocalyptic number.

111536455680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111536455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216406899072).

111536455680 is an abundant number, since it is smaller than the sum of its proper divisors (321277342464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111536455680 is an frugal number, since it uses more digits than its factorization.

111536455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 111536455680 in words is "one hundred eleven billion, five hundred thirty-six million, four hundred fifty-five thousand, six hundred eighty".